Lax Lean Archive

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Proof of `Elementary properties of Bernstein numbers` (2nd statement)

groundedproofs/Lax606786Proofs/StrongMeasurability.lean · lax-606786

What this proof establishes

thm✓Lax606786.BernsteinNumberProperties (2nd statement)

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitLab

Description

From the growth inequality (Lee 2024, Lemma 7): g(ST,V)≤g(S,TV)‖T‖g(S T, V) ≤ g(S, T V) ‖T‖, where TVT V is again kk-dimensional when g(T,V)>0g(T, V) > 0; otherwise g(ST,V)=0g(S T, V) = 0 directly.